Derive F=ma, using newtons second law of motion

1.	Derive F=ma, using newtons second law of motion
Answer» Second law of motion : The rate of change of momentum is directly proportional to the applied force and takes place in the direction in which the force acts. ➞ Force ∝ Change in momentum ÷ TIME taken ➞ F ∝ mv - mu/t ➞ F ∝ m(v - u)/t ➞ F ∝ ma ➞ F = k × m × a Where,k is constant. ➞ k = F/ma ➞ k = 1 N/1 kg × 1 m/s² ➞ k = 1 ➞ F = 1 × m × a ➞ F = ma Hence,proved. ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ ═══════════════════ First law of motion : A body at rest will REMAIN at rest and a body in motion will continue in motion in a straight LINE with uniform speed,unless it is compelled by an external force. Third law of motion : To EVERY action there is an equal and OPPOSITE reaction.

Answer»

Second law of motion :

The rate of change of momentum is directly proportional to the applied force and takes place in the direction in which the force acts.

➞ Force ∝ Change in momentum ÷ TIME taken

➞ F ∝ mv - mu/t

➞ F ∝ m(v - u)/t

➞ F ∝ ma

➞ F = k × m × a

Where,k is constant.

➞ k = F/ma

➞ k = 1 N/1 kg × 1 m/s²

➞ k = 1

➞ F = 1 × m × a

➞ F = ma

Hence,proved.

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

═══════════════════

First law of motion :

A body at rest will REMAIN at rest and a body in motion will continue in motion in a straight LINE with uniform speed,unless it is compelled by an external force.

Third law of motion :

To EVERY action there is an equal and OPPOSITE reaction.

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